1 / 13

3-7 Absolute Value Equations AND Inequalities

3-7 Absolute Value Equations AND Inequalities. Objective: To solve equations and inequalities involving absolute value. 3-7 Absolute Value Equations AND Inequalities. Solve equations and inequalities that contain absolute value by:

giselle-dodson
Download Presentation

3-7 Absolute Value Equations AND Inequalities

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 3-7 Absolute Value Equations AND Inequalities Objective: To solve equations and inequalities involving absolute value

  2. 3-7 Absolute Value Equations AND Inequalities • Solve equations and inequalities that contain absolute value by: • First isolating the absolute value expression. Then write an equivalent pair of equations or inequalities. • Solve Both problems and write solution.

  3. 3-7 Absolute Value Equations AND Inequalities Example 1: Solve |x| + 2 = 9 Graph and check solutions.

  4. 3-7 Absolute Value Equations AND Inequalities Equations such as |2x – 5| = 13 means that 2x – 5 = 13 yields a solution and And 2x – 5 = -13 yields another solution. Check to see.

  5. 3-7 Absolute Value Equations AND Inequalities P. 208 Example 2: Starting from 100 ft away your friend skates toward you and then passes you. She skates at a constant speed of 20 ft/s. Her distance d from you in ft after t seconds is given by d = |100 – 20t|. When will she be 40 ft from you?

  6. 3-7 Absolute Value Equations AND Inequalities P. 208 Example 2: Starting from 100 ft away your friend skates toward you and then passes you. She skates at a constant speed of 20 ft/s. Her distance d from you in ft after t seconds is given by d = |100 – 20t|. When will she be 40 ft from you? Solve 40 = |100 – 20t|

  7. 3-7 Absolute Value Equations AND Inequalities Example 3: Solve 3|2z + 9| + 12 = 10

  8. 3-7 Absolute Value Equations AND Inequalities Write absolute value inequalities as compound inequalities. When you negate the solution you MUST flip the inequality sign. |n – 1| < 2

  9. 3-7 Absolute Value Equations AND Inequalities Write absolute value inequalities as compound inequalities. When you negate the solution you MUST flip the inequality sign. |n – 1| > 2

  10. 3-7 Absolute Value Equations AND Inequalities Example 4: |8n|  24, graph solutions

  11. 3-7 Absolute Value Equations AND Inequalities Example 5, page 210. A company makes boxes of crackers that should weigh 213g. A quality control engineer selects boxes to weigh. Any box that varies by more than 5 g is sent back. What is the range allowable for a box of crackers.

  12. 3-7 Absolute Value Equations AND Inequalities Example 5, page 210. A company makes boxes of crackers that should weigh 213g. A quality control engineer selects boxes to weigh. Any box that varies by more than 5 g is sent back. What is the range allowable for a box of crackers. Let weight = w so actual weight would be: |213 – w| ≤ 5

  13. 3-7 Absolute Value Equations AND Inequalities Homework: Page 211 9 – 63 every third.

More Related